Consider the line L(t)=⟨4−t,−4−2t,−5−3t⟩L(t)=⟨4−t,−4−2t,−5−3t⟩. Then:     L is           to the plane 8z−(2x+11y)=−208z−(2x+11y)=−20       L is           to the plane 1.5x+3y+4.5z=−31.5x+3y+4.5z=−3       L is           to the plane 9z−(15x+6y)=−39z−(15x+6y)=−3       L is           to the plane x+5z=−15x+5z=−15   Answer options are Perpendicular Parellel or neither

Q: Write the coordinates for the center of the hyperbola: A/ (x-2) (y + 1)² 64 36

A: given  (x-2)236-(y+1)264=1standard form of hyperbola is  (x-h)2a2-(y-k)2b2=1hwer centre is  (h,k)

Q: Find the shortest distance between the line L1:2x + y - 3 = 0 and the plane P1:3x - 4y + 12z + 5 =…

A: The formula for the distance between a point and a plane must be used to determine the shortest…

Q: Find the point at which the line r(t) = (7, −7, 4) + t(−6, 6, −8) intersects the az plane.…

A: To find the point where the line intersects xz plane

Q: Find the intersection of the line r(t) = 3t + 2, 1, −7t and the plane 2x − 3y + z = 5.

A: r(t)=3t+2, 1, -7t and the plane 2x-3y+z=5

Q: Find equations for the line perpendicular to the plane x + 5y - 2z = 6 and through the point of…

A:

Q: Find the intersection of the plane x - X = y = - 4y - 5z = -137 and the line r(t) = (5, −5, −4)t +…

A: